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Abstrakty
This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type special function, and with certain results proposed in previous publications and the choice of the parameters involved, the established results in the work are obtained. In addition, some criteria are established to obtain the aforementioned inequalities based on other integral operators. Finally, a more generalized definition is suggested, with which interesting results can be obtained in the field of fractional integral inequalities.
Wydawca
Czasopismo
Rocznik
Tom
Strony
695--709
Opis fizyczny
Bibliogr. 41 poz.
Twórcy
autor
- Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Av. 12 de Octubre 1076. Apartado, Quito 17-01-2184, Ecuador
autor
- Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, España
autor
- Universidad Nacional del Nordeste, Facultad de Ciencias Exactas y Naturales y Agrimensura, Corrientes, Argentina
autor
- Departamento de Técnicas Cuantitativas, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales, Barquisimeto, Venezuela
Bibliografia
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- [2] T. Abdeljawad, P. O. Mohammed, and A. Kashuri, New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications, J. Funct. Space 2020 (2020), no. 1, 357–435, DOI: https://doi.org/10.1155/2020/4352357.
- [3] P. O. Mohammed, Some integral inequalities of fractional quantum type, Malaya J. Mat. 4 (2016), no. 1, 93–99.
- [4] P. O. Mohammed and T. Abdeljawad, Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel, Adv. Differ. Equ. 2020 (2020), no. 1, 345–363, DOI: https://doi.org/10.1186/s13662-020-02825-4.
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- [6] P. O. Mohammed and M. Z. Sarikaya, On generalized fractional integral inequalities for twice differentiable convex functions, J. Comput. Appl. Math. 372 (2020), no. 1, 1–15, DOI: https://doi.org/10.1016/j.cam.2020.112740.
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Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-46c9b05c-2e0b-4baa-90f9-724cfbb5059e